Answer:
Answers shown below.Step-by-step explanation:
11)
7/9 = b/b - 10
Cross multiplying,
7(b - 10) = 9b
7b - 70 = 9b
Adding 70 to both sides,
7b = 9b + 70
Subtracting 9b from both sides,
-2b = 70
Diving both sides by -2,
b = -35
12)
9/k - 7 = 6/k
Cross multiplying,
9k = 6(k - 7)
9k = 6k - 42
Subtracting 6k from both sides,
3k = -42
Dividing both sides by 3,
k = -14
13)
Using similarity of triangles property,
(3x - 5)/(3x - 5 + 10) = (28 - 8)/28
(3x - 5)/(3x + 5) = 5/7
Cross multiplying,
7(3x - 5) = 5(3x + 5)
21x - 35 = 15x + 25
Subtracting 15x from both sides,
6x - 35 = 25
Adding 35 to both sides,
6x = 60
Dividing both sides by 6,
x = 10
14)
Using similarity of triangles property,
16/(16 + 6) = x/(x + 9)
8/11 = x/(x + 9)
Cross multiplying,
8(x + 9) = 11x
8x + 72 = 11x
Subtracting 8x from both sides,
72 = 3x
Dividing both sides by 3,
x = 24